If cell B2 contains the value for $\mu$ and cell A5 contains the value for T, what formula should go in cell B5 to compute the P(Service time) $\le$ T for this exponential distribution?
A)=1-EXP($B$2*A5)
B)=EXP(-$B$2*A5)
C)=1-EXP(-$B$2)
D)=1-EXP(-$B$2*A5)

Question

Quizplus · Accepted Answer

The formula for the cumulative distribution function (CDF) of an exponential distribution is:
F(x) = 1 - e^(-λx)
where λ is the rate parameter and x is the random variable. In this case, the rate parameter is given by the value in cell B2 and the random variable is the service time, which is represented by the value in cell A5.

To compute the probability that the service time is less than or equal to T, we can plug T into the above formula:
F(T) = 1 - e^(-λT)

Therefore, the formula that should go in cell B5 is:
1 - EXP(-$B$2*A5)

If Cell B2 Contains the Value For μ\muμ And Cell A5 Contains the Value for T, What Formula

If Cell B2 Contains the Value For $\mu$ And Cell A5 Contains the Value for T, What Formula